1
algebra

A car rental costs $30/day. However, if you rent for more than 7 days, the cost is $25/day for every day after the 7th. Which equation models the cost CC for d>7d > 7 days?

A

C=210+25(d7)C = 210 + 25(d - 7)

B

C=30dC = 30d

C

C=25dC = 25d

D

C=210+25dC = 210 + 25d

Correct Answer: A

Choice A is the correct answer. Piecewise logic.

  1. First 7 days: 30×7=21030 \times 7 = 210.
  2. Extra days: d7d - 7.
  3. Extra cost: 25(d7)25(d - 7).
  4. Total: 210+25(d7)210 + 25(d - 7).

💡 Strategic Tip: Don't just multiply the new rate by total days (25d25d). You must account for the first bracket separately.

Choice B is incorrect because ignores discount. Choice C is incorrect because applies discount to all days. Choice D is incorrect because double counts days.